Quantile-Based Reliability Analysis

被引：88
|
作者：
Nair, N. Unnikrishnan [1 ]
Sankaran, P. G. [1 ]
机构：
[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 682022, Kerala, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2009年 / 38卷 / 02期
关键词：
Lambda distributions; Quantile-based reliability concepts; Quantile functions; REVERSED HAZARD RATE; DISTRIBUTIONS;
D O I：
10.1080/03610920802187430
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Quantile functions are equivalent alternatives to distribution functions in modeling and analysis of statistical data. The present article discusses the role of quantile functions in reliability studies. We present the hazard, mean residual, variance residual, and percentile residual quantile functions, their mutual relationships and expressions for the quantile functions in terms of these functions. Further, some theoretical results relating to the Hankin and Lee (2006) lambda distribution are discussed.
引用
下载
收藏
页码：222 / 232
页数：11
相关论文
共 50 条
  • [21] Quantile-based optimal portfolio selection
    Bodnar, Taras
    Lindholm, Mathias
    Thorsen, Erik
    Tyrcha, Joanna
    COMPUTATIONAL MANAGEMENT SCIENCE, 2021, 18 (03) : 299 - 324
  • [22] Quantile-Based Entropy of Order Statistics
    Sunoj S.M.
    Krishnan A.S.
    Sankaran P.G.
    Journal of the Indian Society for Probability and Statistics, 2017, 18 (1) : 1 - 17
  • [23] QBRIX: a quantile-based approach to retinex
    Gianini, Gabriele
    Manenti, Andrea
    Rizzi, Alessandro
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2014, 31 (12) : 2663 - 2673
  • [24] A quantile-based approach to system selection
    Batur, D.
    Choobineh, F.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 202 (03) : 764 - 772
  • [25] Quantile-based optimal portfolio selection
    Taras Bodnar
    Mathias Lindholm
    Erik Thorsén
    Joanna Tyrcha
    Computational Management Science, 2021, 18 : 299 - 324
  • [26] A quantile-based Tsallis-α divergence
    Kayal, Suchandan
    Tripathy, Manas Ranjan
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 496 - 505
  • [27] Quantile-based versus Sobol sensitivity analysis in limit state design
    Kala, Zdenek
    STRUCTURES, 2020, 28 : 2424 - 2430
  • [28] Bootstrap Inference for Quantile-based Modal Regression
    Zhang, Tao
    Kato, Kengo
    Ruppert, David
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2023, 118 (541) : 122 - 134
  • [29] Testing directional predictability between energy prices: A quantile-based analysis
    Scarcioffolo, Alexandre R.
    Etienne, Xiaoli
    RESOURCES POLICY, 2021, 74
  • [30] Quantile-Based Inference for Tempered Stable Distributions
    Fallahgoul, Hasan A.
    Veredas, David
    Fabozzi, Frank J.
    COMPUTATIONAL ECONOMICS, 2019, 53 (01) : 51 - 83
12345